Answer:
x = 4
-4x+21 => 5
Step-by-step explanation:
The given triangle in the picture is isosceles triangle which means that two sides of the triangle are equal.
So,

Now
Putting all the values in equation for perimeter

Putting x = 4 in side 1

Hence,
x = 4
-4x+21 => 5
Answer: 40
Step-by-step explanation:
The decimal for that is 2.7
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
-3/4(x+2)=6
-3/4 is turned into a decimal, -0.75
-0.75(x+2)=6 distribute -0.75 to x and 2 (multiply)
-0.75x-1.5=6 add -1.5 under 6
-0.75x=7.5 divide -0.75 on both sides
-0.75x/-0.75 = 7.5/0.75
x=10